Question

In triangles Δefg and Δyxz, if ∠f ≅ ∠x and ∠e ≅ ∠y, and given that ∠e = 62° and ∠x = 80°, what is the measure of ∠y?

1) 38°
2) 62°
3) 80°
4) 142°

Answer 1

In triangles Δefg and Δyxz, if ∠f ≅ ∠x and ∠e ≅ ∠y, and given that ∠e = 62° and ∠x = 80°, the measure of ∠y is 62°.

Step-by-step explanation:

In triangles Δefg and Δyxz, if ∠f ≅ ∠x and ∠e ≅ ∠y, and given that ∠e = 62° and ∠x = 80°, we can use the Angle-Angle (AA) similarity theorem to find the measure of ∠y.

Since ∠f ≅ ∠x, we have ∠f = 80°.

Since ∠e ≅ ∠y and ∠e = 62°, we have ∠y = 62°.

Therefore, the measure of ∠y is 62°, so the correct answer is option 2) 62°.